LCM of 689, 242, 221, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 242, 221, 969 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 689, 242, 221, 969. So, keep reading to learn more.
Given numbers are 689,242,221,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,242,221,969 is 161569122.
Find LCM of 689,242,221,969 with Prime Factorization
| 13 | 689, 242, 221, 969 |
| 17 | 53, 242, 17, 969 |
| 53, 242, 1, 57 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 53 x 242 x 1 x 57 = 161569122
Therefore, the lowest common multiple of 689,242,221,969 is 161569122.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
689 x 242 x 221 x 969 = 35706775962
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
689 : 1, 13, 53, 689
242 : 1, 2, 11, 22, 121, 242
221 : 1, 13, 17, 221
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,242,221,969, is 1.
Now, the common factors can be found like this.
689:13x 53
242:2x 11x 11
221:13x 17
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17 = 221
Therefore, the value for common factors is 221.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 35706775962/(1x221)
LCM = 35706775962/221
LCM = 161569122
Thus, we can understand that the LCM of 689,242,221,969 is 161569122.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 689, 242, 221, 969
1. What is the LCM of 689, 242, 221, 969?
Answer: LCM of 689, 242, 221, 969 is 161569122.
2. How to calculate the LCM of 689, 242, 221, 969?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 689, 242, 221, 969.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.